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The Dynamics of Aerocolloidal Systems, Volume 1 is concerned with the dynamical behavior of idealized aerosol particles in the light of developments in classical mechanics. The idealization is based on the assumption that the solid or liquid particles suspended in a gas can be modeled as macroscopically smooth, chemically inert, spherical bodies. Topics covered include transport processes, single particles, and generation and behavior of clouds. Emphasis is placed on fluid dynamics from the continuum regime to the free molecule regime. This book is comprised of 10 chapters and begins with an overview of definitions and classifications of aerocolloidal suspensions. The next chapter deals with the characteristics of aerial dispersions as provided for in the hard, smooth sphere picture. The basic mechanical parameters of an aerocolloidal system is described, along with certain different regimes of the idealized aerosol and various solutions of the Boltzmann equation. The reader is methodically introduced to the dynamics of single particles in the continuum approximation; heat and mass transfer to single particles in a continuum; formation of aerosols by nucleation of supersaturated vapor; and diffusion and dispersion of aerosol particles. The final chapter considers the interaction between aerosol particles, paying particular attention to the collision of inert spheres whose sticking probability is unity. This volume will be useful to scholars, practicing scientists, and graduate students as well as those who would consider teaching aerosol mechanics as part of a curriculum in the atmospheric sciences, or in other applied sciences including applied physical chemistry, and engineering.
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978-1-4831-4605-8 (9781483146058)
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PrefacePrincipal Nomenclature1. Introduction A. Preliminary Definitions and Classification B. Scope and Limitations2. Fundamental Considerations 2.1 Characterization of Aerocolloidal Systems A. Definition of an Aerocolloidal System B. Mechanical Regimes of Aerocolloidal Systems C. A Single Particle in an Infinite Gas D. Some Relevant Additional Dimensionless Parameters E. Assemblies of Particles in a Gas 2.2 Quantitative Formulation of Aerosol Dynamics A. The Physics of the Suspending Gas B. Derivation of the Boltzmann Equation C. Mechanics of Two-body Collisions D. Conservation Laws E. The Approach to Equilibrium F. Some Solutions of the Boltzmann Equation for Extremes of Knudsen Number G. Solutions which Apply to the Knudsen Transition Regime 2.3 Physicochemical Properties of Aerosol Particles3. Dynamics of Single Particles in the Continuum Approximation 3.1 Steady Rectilinear Motion in a Homogeneous Gas A. Stokes' Solution B. Effects of External Forces and of Non-uniformities in the Gas 3.2 Accelerated Motion of Particles in a Moving Medium A. Generalized Equations of Motion B. Relaxation Time to Reach Steady Motion C. Curvilinear Motion of Particles D. Curvilinear Motion and Particle Deposition E. Deposition of Particles in Electrical Fields4. Heat and Mass Transfer to Single Particles in a Continuum 4.1 The Macroscopic Equations for Heat and Mass Transfer in a Continuum Regime A. Laws of Conservation of Matter and Energy B. Relations between Fluxes and Driving Forces C. Maxwell's Diffusion Laws for Multicomponent Systems D. Simplification of the Macroscopic Equations of Conservation 4.2 Diffusional Processes to a Particle in a Stagnant Gas A. Growth by Condensation and Evaporation B. Temperature Changes during Evaporation or Condensation C. Non-steady State Transport Processes 4.3 Diffusional Processes to a Particle Moving Relative to the Gas Phase A. Convective Transport at Conditions of Steady State B. Quasi-stationary Evaporation and Growth of a Moving Droplet 4.4 Mass Transfer Coupled to Particle Motion5. Transfer Processes to Single Particles: The Free Molecule and Transitions Regions of Knudsen Number 5.1 Transfer Processes to Single Particles from Moments of the Molecular Velocity Distribution Function 5.2 Transfer Processes in the Free Molecule Regime A. Molecular and Heat Transfer Rates for Evaporating or Condensing Particles in the Free Molecule Region B. Momentum Transfer to Particles in the Free Molecule Region C. Summary 5.3 Transfer Processes in the Transition Regime A. Mass and Heat Transfer in the Transition Region B. Momentum Transfer in the Transition Region C. Summary6. Transfer Processes to an Aerosol Particle in the Slip Flow Region 6.1 The Slip Flow Procedure A. Application of the Navier-Stokes Equations 6.2 Illustrations of the Slip Flow Procedure A. Mass Transfer to an Aerosol Particle in a Stagnant Gas B. Heat Transfer from an Aerosol Particle to a Stagnant Gas C. Momentum Transfer to an Aerosol Particle in the Slip Flow Region 6.3 Summary7. Diffusion and Dispersion of Aerosol Particles 7.1 General Properties of the Diffusion Equations A. Some Concepts of Random Processes B. Diffusion by Discontinuous Jumps C. Diffusion of Particles by Brownian Motion D. Diffusion in the Presence of an External Force Field 7.2 Deposition of Aerosols by Diffusion A. Diffusion in a Stagnant Medium B. Diffusion in a Gravity Field 7.3 Laminar Convection and Diffusion A. Diffusion of Particles in a Slow, Uniform Velocity Field B.